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Beliebt Algebra >

2x^4+x^3-7x^2-3x+3=0

Lösung

2 x^{4} + x^{3} - 7 x^{2} - 3 x + 3 = 0

Lösung

x = - 1, x = \frac{1}{2}, x = - 3, x = 3

+1

Dezimale

x = - 1, x = 0.5, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

2 x^{4} + x^{3} - 7 x^{2} - 3 x + 3 = 0

Faktorisiere

2 x^{4} + x^{3} - 7 x^{2} - 3 x + 3 : (x + 1) (2 x - 1) (x + 3) (x - 3)

(x + 1) (2 x - 1) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or 2 x - 1 = 0 or x + 3 = 0 or x - 3 = 0

Löse

x + 1 = 0 : x = - 1

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - 1, x = \frac{1}{2}, x = - 3, x = 3

Graph

Beliebte Beispiele

7x^9=(7x^{10})-(7x)

7 x^{9} = (7 x^{10}) - (7 x)

8 x^{3} = 0

0 = x^{4} - 18 x^{2} + 32

x(x-5)^3-14(x-5)^2=0

x (x - 5)^{3} - 14 (x - 5)^{2} = 0

4x(x-3)^2(2x-5)=0

4 x (x - 3)^{2} (2 x - 5) = 0